How long do I have to wait for it to be removed?

I used to have a website provided by a company but you were the web webmaster of it,I told them to block it and the did,The picture has been removed off of Google Images and everywhere else on the Internet but when I search for it in Google Search Or any other search engine(not images) it still comes up and with the description at the bottom too,But when I click it it just says "404 NOT FOUND" anyway,My question is If I search for it in the future will it be cleared off of Google search and other search engines?
If so for how long from now do you think it will be off of Google Search Or any other search engine(not images)?